What is the critical f(x)=t^4-20t^3+112t^2 ?

The critical f(x)=t^4-20t^3+112t^2 is t=0,t=7,t=8

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critical f(x)=t^4-20t^3+112t^2

critical points

f (x) = t^{4} - 20 t^{3} + 112 t^{2}

t = 0, t = 7, t = 8

Solution steps

t^{4} - 20 t^{3} + 112 t^{2}

Find where

f^{'} (t)

is equal to zero or undefined

t = 0, t = 7, t = 8

Identify critical points not in

f (t)

domain

Domain of

t^{4} - 20 t^{3} + 112 t^{2} : - \infty < t < \infty

All critical points are in domain

t = 0, t = 7, t = 8

cos (x), 0 \leq x \leq 2 π

y = x - 3

f (x) = (x + 8)^{5}

(5.1) (4)

What is the critical f(x)=t^4-20t^3+112t^2 ?
The critical f(x)=t^4-20t^3+112t^2 is t=0,t=7,t=8